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Finding the Third Proportional to 169,338 and 364,164

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Solution

The third proportional to 169,338 and 364,164 is: 783,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,338 : 364,164 = 364,164 : x
  2. Step 2: Convert to fraction form
    169,338/364,164 = 364,164/x
  3. Step 3: Cross multiply
    169,338x = 364,164 × 364,164
  4. Step 4: Simplify right side
    169,338x = 132,615,418,896
  5. Step 5: Solve for x
    x = 132,615,418,896/169,338
  6. Step 6: Final answer
    x = 783,140.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.